2 citations · 2 across the 5 of their papers we have counts for
5 papers
Existence for the Supercooled Stefan Problem in General Dimensions
Sunhi Choi, Inwon C. Kim, Young-Heon Kim
We prove the global-time existence of weak solutions to the supercooled Stefan problem. Our result holds in general space dimensions and with a general class of initial data. In ad…
Regularity and asymptotic behavior of laminar flames in higher dimensions
Rubin Abrams, Sunhi Choi
We study a parabolic free boundary problem, arising from a model for the propagation of equi-diffusional premixed flames with high activation energy. If an initial data is compactl…
Homogenization of oblique boundary value problems
Sunhi Choi, Inwon Kim
We consider a nonlinear Neumann problem, with periodic oscillation in the elliptic operator and on the boundary condition. Our focus is on problems posed in half-spaces, but with g…
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data
Sunhi Choi, Inwon Kim
In this article we investigate averaging properties of fully nonlinear PDEs in bounded domains with oscillatory Neumann boundary data. The oscillation is periodic and is present bo…
Two phase Stefan-type problem: Regularization near initial data by phase dynamics
Sunhi Choi, Inwon Kim
We investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution i…